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Worksheets

Equivalence and Simplification of Expressions

Total questions: 22

Worksheet time: 6hrs 30mins

Name
Class
Date
1.
Which expression is equivalent to 3x + 5 + 7x + 2?
a)
10x + 7
b)
17x
c)
17
d)
15x + 2
2.
Which expression is equivalent to 6y + 22y + y?
a)
28y + 1
b)
29y
c)
22y + 7
d)
29
3.

Which answer choice is equivalent to:


12x-16


Select all that apply.

a)

3(4x+5)

b)

3(4x-6)

c)

4(4x-3)

d)

4(3x-4)

e)

8x-(4⋅4)+4x

4.

Which answer choice is equivalent to:


2x+4x+6(x-3)+4


Select all that apply.

a)

12x-14

b)

14x-13

c)

2(6x-7)

d)

½(24x-28)

e)

14-13x

5.
Find an equivalent expression for the given expression: 36x + 24
a)
4(9x + 7)
b)
4(9x + 8)
c)
2(18x + 12)
d)
12(3x + 3)
6.

Which is equivalent to -(9x + 4 - y)?

a)

-9x + 4 - y

b)

-9x + 36x + 9xy

c)

-9x - 36x + 9xy

d)

-9x - 36x - 9xy

e)

-9x - 4 + y

7.
Evaluate the given expression when a = 4 and b = 5. 
2a + 6b
a)
38
b)
34
c)
19
d)
89
8.
Simplify the expression
5x - 9 - x + 2
a)
6x - 11
b)
4x - 7
c)
6x - 18
d)
4x - 11
9.
Simplify the following expression:
 8a - 2(7a -3)
a)
8a - 14a - 6
b)
-6a + 6
c)
-6a - 6
d)
-6a - 3
10.
Identify the coefficients in the following expression:
x + 5 - 3x - 1
a)
3 and 1
b)
1 and -3
c)
-3 and -1
d)
5 and -1
11.

Which answer choice shows two expressions that are equivalent?

a)
b)
c)
d)
12.

Which pair of expressions are not equivalent?

a)
b)
c)
d)
13.
Factor the following, find GCF and choose an equivalent expression
4x + 8
a)
4(x + 2)
b)
4x(1 + 2)
c)
2(2x + 8)
14.
Use the distributive property to find an equivalent expression of: 4(b + 6n)
a)
4b + 24n
b)
b + 6n
c)
4 + 6n
d)
28bn
15.

Simplify this expression:

-7w + (-6) + 5 + (-9w)

a)

-2w - 1

b)

-16w - 11

c)

-16w - 1

d)

-2w + 11

16.

Find the simplified equivalent expression:


2.1 - 3.7c + 1.9c - 1.4

a)

1.8c + 0.7

b)

3.5 - 5.6c

c)

4.9c

d)

0.7 - 1.8c

17.

Simplify the expression:

-3c + 5r -7r + 8c + 23 - 3r -12

a)

5c -5r + 11

b)

5c - 15r - 35

c)

-5c + 5r + 35

d)

11c -15r + 11

18.

Simplify this expression:

4.6x - 5.3x + 10.2y + 9 - 7.6

a)

0.7x + 10.2y +16.6

b)

-9.9x + (-10.2y) + 1.4

c)

-0.7x +10.2y 16.6

d)

-0.7x + 10.2y + 1.4

19.

Expand the expressions using the distributive property:

-2( 2.5x - 6)

a)

-0.5x + 12

b)

5x -12

c)

-5x +12

d)

-5x - 6

20.

1/2(8a - b +16)

a)

4a + 1/2b + 16

b)

8.5a + 1/2b + 16

c)

4a - 1/2b + 8

d)

4a + 1/2b - 8

21.

Use distributive property to expand this expression:


2w( - 4.5 - 2.7x)

a)

-9w - 2.7x

b)

2w - 4.5 - 2.7x

c)

-9w - 5.4x

d)

-9w - 5.4wx

22.

Using the GCF, what is the factored form of 18f - 45

a)

3(6f - 15)

b)

9(2f - 5)

c)

6(3f - 5)

d)

18(f - 3.5)